The number of permutation and number of combination of 10 objects taken 4 at a time are
10P₄ = 5040
10C₄ = 210
The permutation of 10 objects taken 4 at a time is given by the formula
= 10! / (10 - 4)!
= 10! / 6!
= 10 * 9 * 8 * 7 * 6! / 6!
= 10 * 9 * 8 *7
= 5040
The combination of 10 objects taken 4 at a time is given by the formula
= 10! / (4!(10 - 4)!)
= 10! / (4! * 6!)
= 10 * 9 * 8 * 7 * 6! / (6! * 4!)
= 10 * 9 * 8 *7 / 4!
= 210
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